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214122883632 = 24372827110083
BaseRepresentation
bin1100011101101010110…
…1111110101000110000
3202110200120222111201120
43013122231332220300
512002010424234012
6242211112302240
721320110323600
oct3073255765060
9673616874646
10214122883632
1182899870759
12355b93a1980
1317265224658
14a513a24c00
15588327c58c
hex31dab7ea30

214122883632 has 120 divisors (see below), whose sum is σ = 644245033536. Its totient is φ = 61103435904.

The previous prime is 214122883621. The next prime is 214122883669. The reversal of 214122883632 is 236388221412.

It is a super-2 number, since 2×2141228836322 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1890063 + ... + 2000145.

Almost surely, 2214122883632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214122883632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322122516768).

214122883632 is an abundant number, since it is smaller than the sum of its proper divisors (430122149904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214122883632 is a wasteful number, since it uses less digits than its factorization.

214122883632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110935 (or 110922 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The spelling of 214122883632 in words is "two hundred fourteen billion, one hundred twenty-two million, eight hundred eighty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 827 1176 1654 2352 2481 3308 4962 5789 6616 9924 11578 13232 17367 19848 23156 34734 39696 40523 46312 69468 81046 92624 110083 121569 138936 162092 220166 243138 277872 324184 330249 440332 486276 648368 660498 770581 880664 972552 1320996 1541162 1761328 1945104 2311743 2641992 3082324 4623486 5283984 5394067 6164648 9246972 10788134 12329296 16182201 18493944 21576268 32364402 36987888 43152536 64728804 86305072 91038641 129457608 182077282 258915216 273115923 364154564 546231846 637270487 728309128 1092463692 1274540974 1456618256 1911811461 2184927384 2549081948 3823622922 4369854768 4460893409 5098163896 7647245844 8921786818 10196327792 13382680227 15294491688 17843573636 26765360454 30588983376 35687147272 53530720908 71374294544 107061441816 214122883632